Classification of energy momentum tensors in n ≥ 5 dimensional space-times: a review
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| Natura: | Artículo científico |
| Lingua: | en |
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Sociedade Brasileira de Física
2004
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| _version_ | 1876470225345445888 |
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| author | J. Santos |
| author_facet | J. Santos |
| contents | Classification of energy momentum tensors in n ≥ 5 dimensional space-times: a review J. Santos A. F. F. Teixeira M. J. Rebouças Física, Astronomía y Matemáticas Recent developments in string theory suggest that there might exist extra spatial dimensions, which are notsmall nor compact. The framework of a great number of brane cosmological models is that in which the matterfields are confined on a brane-world embedded in five dimensions (the bulk). Motivated by this we review themain results on the algebraic classification of second order symmetric tensors in 5-dimensional space-times.All possible Segre types for a symmetric two-tensor are found, and a set of canonical forms for each Segre typeis obtained. A limiting diagram for the Segre types of these symmetric tensors in 5D is built. Two theoremswhich collect together some basic results on the algebraic structure of second order symmetric tensors in 5Dare presented. We also show how one can obtain, by induction, the classification and the canonical forms of asymmetric two-tensor on n-dimensional (n > 5) spaces from its classification in 5D spaces, present the Segretypes in nD and the corresponding canonical forms. This classification of symmetric two-tensors in any nDspaces and their canonical forms are important in the context of n-dimensional brane-worlds context and alsoin the framework of 11D supergravity and 10D superstrings. 2004 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46434233 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.2A Vol.34 |
| format | Artículo científico |
| id | redalyc_46434233 |
| institution | Redalyc |
| language | en |
| publishDate | 2004 |
| publisher | Sociedade Brasileira de Física |
| spellingShingle | Classification of energy momentum tensors in n ≥ 5 dimensional space-times: a review J. Santos Física, Astronomía y Matemáticas Classification of energy momentum tensors in n ≥ 5 dimensional space-times: a review J. Santos A. F. F. Teixeira M. J. Rebouças Física, Astronomía y Matemáticas Recent developments in string theory suggest that there might exist extra spatial dimensions, which are notsmall nor compact. The framework of a great number of brane cosmological models is that in which the matterfields are confined on a brane-world embedded in five dimensions (the bulk). Motivated by this we review themain results on the algebraic classification of second order symmetric tensors in 5-dimensional space-times.All possible Segre types for a symmetric two-tensor are found, and a set of canonical forms for each Segre typeis obtained. A limiting diagram for the Segre types of these symmetric tensors in 5D is built. Two theoremswhich collect together some basic results on the algebraic structure of second order symmetric tensors in 5Dare presented. We also show how one can obtain, by induction, the classification and the canonical forms of asymmetric two-tensor on n-dimensional (n > 5) spaces from its classification in 5D spaces, present the Segretypes in nD and the corresponding canonical forms. This classification of symmetric two-tensors in any nDspaces and their canonical forms are important in the context of n-dimensional brane-worlds context and alsoin the framework of 11D supergravity and 10D superstrings. 2004 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46434233 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.2A Vol.34 |
| title | Classification of energy momentum tensors in n ≥ 5 dimensional space-times: a review |
| topic | Física, Astronomía y Matemáticas |
| url | https://www.redalyc.org/articulo.oa?id=46434233 |